npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
**Trit**: 0 (ERGODIC)
Explains unstable manifolds in dynamical systems theory, including local/global behavior near equilibria, bifurcations, stability, GF(3) integration, and Julia code via AlgebraicDynamics.jl. Useful for analyzing diverging dynamics.
Guides Next.js Cache Components and Partial Prerendering (PPR) with cacheComponents enabled. Implements 'use cache', cacheLife(), cacheTag(), revalidateTag(), static/dynamic optimization, and cache debugging.
Guides building MCP servers enabling LLMs to interact with external services via tools. Covers best practices, TypeScript/Node (MCP SDK), Python (FastMCP).
Share bugs, ideas, or general feedback.
Trit: 0 (ERGODIC) Domain: Dynamical Systems Theory Principle: Manifold of points converging to equilibrium
Stable Manifold is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.
STABLE_MANIFOLD: Phase space × Time → Phase space
This skill participates in triadic composition:
using AlgebraicDynamics
# Stable Manifold as compositional dynamical system
# Implements oapply for resource-sharing machines
Skill Name: stable-manifold Type: Dynamical Systems / Stable Manifold Trit: 0 (ERGODIC) GF(3): Conserved in triplet composition
Condition: μ(n) ≠ 0 (Möbius squarefree)
This skill is qualified for non-backtracking geodesic traversal:
Geodesic Invariant:
∀ path P: backtrack(P) = ∅ ⟹ μ(|P|) ≠ 0
Möbius Inversion:
f(n) = Σ_{d|n} g(d) ⟹ g(n) = Σ_{d|n} μ(n/d) f(d)